Topology of the Universe

1987 ◽  
pp. 461-475 ◽  
Author(s):  
L. Z. Fang ◽  
H. J. Mo
1996 ◽  
Vol 111 (12) ◽  
pp. 1433-1438 ◽  
Author(s):  
Zhen-Qiang Tan ◽  
You-Gen Shen

Author(s):  
Vipin Kumar Sharma

The main motivation to write this article is to relate the cosmology and topology in order to gain some insight into the topological signatures of the Standard model of Universe. The theory of General Relativity as given by Einstein only describes the local geometry of space but not global, hence leaves the possibility to explore the topology of the space (simply- or multi-connected). By expressing the cosmological model in trms of energy density parameters, we attempt to understand the geometry of spacetime. This is followed by a discussion on the possibility to detect the signatures of topology of space imprinted on the Cosmic Microwave Background (CMB).


1999 ◽  
Vol 183 ◽  
pp. 263-263
Author(s):  
Boudewijn F. Roukema

The topology of the Universe is a fundamental property of our Universe according to Friedmann-Lemaître models[3, 9, 7], but has not yet been reliably measured. As pointed out by Sato[12], the Universe may be finite even though flat or negatively curved: infinite volume of a hypersurface.


2001 ◽  
Vol 10 (06) ◽  
pp. 785-790 ◽  
Author(s):  
JOHN D. BARROW ◽  
HIDEO KODAMA

If the topology of the universe is compact we show how it significantly changes our assessment of the naturalness of the observed structure of the universe and the likelihood of its present state of high isotropy and near flatness arising from generic initial conditions. We also identify the most general cosmological models with compact space.


2001 ◽  
Vol 16 (31) ◽  
pp. 2003-2011 ◽  
Author(s):  
PEDRO F. GONZALEZ-DIAZ

By using a tracking quintessence model we obtain that the position of the first Doppler peak in the spectrum of CMB anisotropies only depends on the topology, of the universe, Ωk, for any value of the ratio ΩΛ/ΩM, so that such a dependence is perfectly valid in the range suggested by supernova observations. A prediction from the used quintessence model is also that all peaks at positions ℓn for n even are fully suppressed on that spectrum.


1998 ◽  
Vol 15 (9) ◽  
pp. 2689-2697 ◽  
Author(s):  
Janna Levin ◽  
Evan Scannapieco ◽  
Joseph Silk

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